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Finding the Fourth Proportional to 71,442.66, 107,153.46 and 18,855.84

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Solution

The fourth proportional to 71,442.66, 107,153.46 and 18,855.84 is: 28,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442.66 : 107,153.46 = 18,855.84 : x
  2. Step 2: Convert to fraction form
    71,442.66/107,153.46 = 18,855.84/x
  3. Step 3: Cross multiply
    71,442.66x = 107,153.46 × 18,855.84
  4. Step 4: Simplify right side
    71,442.66x = 2,020,468,497.21
  5. Step 5: Solve for x
    x = 2,020,468,497.21/71,442.66
  6. Step 6: Final answer
    x = 28,280.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.